[greymule]

Where in that rule clarification does it say it had to be the IMMEDIATE proper batter?

It depends on what the meaning of is is.

"If the incorrect batter is called out as a result of their time at bat and is scheduled to be the proper batter, skip that player and the next person in the line-up will be the batter."

If we understand present tense to refer to the present and thus understand is to mean is and not will at some later point be, then you skip over that batter only if he is at present scheduled to be the proper batter.

Obviously, everybody in the lineup is scheduled to be the proper batter at some point.